prove trigonometric identity:

[tex] { \sin}^{2} + \cos ^{2} = 1[/tex]
Please show proof and explanation I really need help​

Answer: x= -4,-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

I can help

Step 1

factor the left sides of the equation

Then you will get (x+4)(x+5)=0

Step 2

You will have to set the factors equal to 0

x=-4 or x=-5

Hope this helped

Answer:

11

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

5 out of 25 reduces to 1 out of 5

An exponential equation is characterized by an initial value "a" and a rate "b". Because Jerald is investigating a depreciation, the rate "b" will be less than 1.

The exponential equation is [tex]y = 12500(0.86)^x[/tex] and the depreciated amount in 2010 is approximately 2379

I've added the missing data as an attachment.

An exponential equation is represented as:

[tex]y = ab^x[/tex]

Where:

[tex]a \to[/tex] the first term

[tex]b \to[/tex] rate

[tex]x \to[/tex] years after 1999

[tex]y \to[/tex] depreciated value

When [tex]x = 0\ \&\ y=12500[/tex]

The equation [tex]y = ab^x[/tex] is:

[tex]12500 = ab^0[/tex]

[tex]12500 = a*1[/tex]

[tex]12500 = a[/tex]

[tex]a =12500[/tex]

When [tex]x = 1\, \&\ y = 10750[/tex]

The equation [tex]y = ab^x[/tex] is:

[tex]10750 = ab^1[/tex]

[tex]10750 = ab[/tex]

Substitute [tex]a =12500[/tex]

[tex]10750 = 12500 \times b[/tex]

Solve for b

[tex]b =\frac{10750 }{12500}[/tex]

[tex]b =0.86[/tex]

So, the equation is:

[tex]y = ab^x[/tex]

[tex]y = 12500(0.86)^x[/tex]

To calculate the depreciated value in 2010, we first solve for x in 2010

[tex]x = 2010 - 1999[/tex]

[tex]x = 11[/tex]

So, the depreciated value (y) is:

[tex]y = 12500(0.86)^x[/tex]

[tex]y = 12500 \times 0.86^{11}[/tex]

[tex]y = 2379[/tex]

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Answer:

Triangle C and D

Is your correct answer

Triangle A have 3 sides equal so it is equilateral triangle

Triangle B have 2 sides equal so it is isosceles triangle

Triangle C have no equal sides so it is scalene triangle

Triangle D have no equal sides so it is scalene triangle

Triangles C and D are scalene triangles.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangle A has three sides each measuring 7 units.

Triangle B has two sides that are equal in length, and the base is longer than the two sides.

Triangle C has no sides of equal length.

Triangle D has sides of length seven, three, and six.

Now, We know that;

A scalene triangle have different sides.

Hence, Triangles C and D are scalene triangles.

Thus, We get;

Triangles C and D are scalene triangles.

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The compound interest implies that Juan owes $163.52 today

The given variables can be represented as:

The amount from a compound interest can be calculated using:

A = P(1 + r/n)^nt

Also from the question, we have

n = 12

This is so because the loan is compounded 12 times in a year as a result of being compounded monthly

So, we have

A = P(1 + r/n)^nt

A = 128 * (1 + (50%/12))^(0.5*12)

Evaluate

A = 163.52

Hence, the amount owed is $163.52

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Answer:

45 or positive 45

Step-by-step explanation:

Answer: 45

Step-by-step explanation:

Answer:

-4 is the opposite of -1/4

Answer:

2x - 2x + 6y + y = 6 + 8

7y = 14

y = 2

2x + 6(2) = 6

2x + 12 = 6

2x = -6

x = -3

Answer:

X=-3, y=2

Step-by-step explanation:

Answer:

1/2 x 1/2= 2/4

Step-by-step explanation:

Answer:

Nicoles pattern is correct

Ians pattern is 0,1,3,7,15,

Coordinate pairs

1,0

5,1

17,3

53,7

161,15

Step-by-step explanation:

Pencil and paper

Answer:

1.98 × 10^10

Step-by-step explanation:

First solve for how many text messages were sent out per one month:

22,000,000 × 900

19,800,000,000

Convert into scientific notation:

1.98 × 10^10

In scientific notation, there can only be one number before the decimal. The rest of the numbers must be after the decimal; hence, why I put the numbers 9 and 8 after the decimal. If the rest of the numbers are zeros, you do not have to add them after the decimal. Instead, starting from right to left, count the number places until you reach your decimal. The number you have counted will be your exponent. I counted nine 0's, one 8, and one 9 which made this exponent 10 as there were 10 decimal placements.

Answer:

4,331.25 in interest

Step-by-step explanation:

22,500.00x3.5%=787.50x5.5=4,331.25

22,500.00+4,331.25=26,831.25 total loan

Jim buys a car for $22,500. He decides to finance through the dealership at 3.5% simple interest for 5.5 years.The loan amount Jim will pay over the course of 5.5 years is $26,823.75.

To calculate the interest Jim will pay and the total loan amount over 5.5 years, we can use the formula for simple interest:

Interest = Principal * Rate * Time

Total Loan = Principal + Interest

Given:

Principal (P) = $22,500

Rate (R) = 3.5% (expressed as a decimal, 0.035)

Time (T) = 5.5 years

Calculating the interest:

Interest = $22,500 * 0.035 * 5.5

Interest = $4,323.75

Jim will pay $4,323.75 in interest over the course of 5.5 years.

Calculating the total loan:

Total Loan = Principal + Interest

Total Loan = $22,500 + $4,323.75

Total Loan = $26,823.75

Therefore, the loan amount Jim will pay over the course of 5.5 years is $26,823.75.

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Full question

Jim buys a car for $22,500. He decides to finance through the dealership at 3.5% simple interest for 5.5 years. How much interest will he pay? What is the loan Jim will pay over the course of the 5.5 years?

( No graph Needed)

9514 1404 393

Answer:

  b.  255.5 to 499.5

Step-by-step explanation:

The middle 50% is the range between the first and third quartiles. In this group of 9 numbers, the first quartile is the average of numbers 2 and 3 when the numbers are listed from smallest to largest.

  first quartile = (230 +281)/2 = 255.5 . . . . . . matches answer choice B

The third quartile is the average of numbers 7 and 8:

  third quartile = (468 +531)/2 = 499.5 . . . . .  also matches answer choice B

The middle 50% is 255.5 to 499.5.

_____

When I put the numbers in order, I get ...

  198 230 ^ 281 246 376 426 468 ^ 531 540

^ indicates that the quartile here is the average of the adjacent numbers

bold indicates the median (2nd quartile)

Answer:

57°

Step-by-step explanation:

180-56=114

114÷2=57

Answer:

57°

Step-by-step explanation:

AO and BO are both the radius of the circle, so they are equal.  Since it makes an iscosoles triangle, angles A and B are equal.

180-66=114

114/2=57

Answer:It’s D

Step-by-step explanation:

edge

Answer:

Top left

Step-by-step explanation:

It’s the only one with a data point very far from the rest

Answer:

its diff for all of is but it deff right

Step-by-step explanation:

k12 right

Answer:

The answer would be 5/100 or 1/20 in it's simplest form

Step-by-step explanation:

So let's say you have only 5% of a pie and the rest of your family gets the rest, if you put that in a form of a fraction, the answer would be 5 over 100 (5/100). But if you simplify, the answer would be 1/20 since 5 goes into 5 once and 20 goes into 100 5 times.

Ignore the messy writing, i was in a hurry.

Answer:

6 5/8

Step-by-step explanation:

Answer:

it equals 29/8 you can also write it as 3 5/8

Step-by-step explanation:

first you would convert the mixed fraction to 13/4 then add te two fractions. i hope this helps

Answer:

f(-6) = 30e+7 or 88.55

Step-by-step explanation:

First you want to plug in the -6 into the function getting you:

-5e(-6)+4+3

You can multiply the -5*-6=30

Then add 4+3 giving you 7

So the final answer is 30e+7

answer d

Step-by-step explanation:

because I learned this

Answer: 144 pi units^3

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

First notice that the sing does not have a line under it so its an open circle then the line is pointing to right. Your Welcome

9514 1404 393

Answer:

  1367 people

Step-by-step explanation:

The wording "a rate proportional to the number" indicates the function is exponential. The growth factor is 1200/1000 = 1.2 in 7 days, so the exponential function can be written ...

  i(t) = 1000(1.2^(t/7))

After 12 days, the number infected is modeled as ...

  i(12) = 1000(1.2^(12/7)) ≈ 1367

About 1367 people are infected 12 days after discovery.

Answer:

Step-by-step explanation:

0.1     ;-;

Answer:

a) The mean is 0.05 and the standard deviation is 0.0218.

b)  v. The sampling distribution of p is not approximately normal because n(1 - p) is less than 10.

Step-by-step explanation:

Central Limit Theorem

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex].

If [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], the sampling distribution of the sample proportion p will be approximately normal.

Consider the population consisting of all adult Americans age 65 and older who prefer to watch the news, and suppose that for this population the actual proportion who prefer to watch online is 0.05.

This means that [tex]p = 0.05[/tex]

A random sample of n = 100 people

So [tex]n = 100[/tex]

(a) What are the mean and standard deviation of the sampling distribution of p?

Mean [tex]\mu = p = 0.05[/tex]

Standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.05*0.95}{100}} = 0.0218[/tex]

The mean is 0.05 and the standard deviation is 0.0218.

(b) Is the sampling distribution of p approximately normal for random samples of size n 100? Explain.

[tex]np = 100*0.95 = 95 > 10[/tex]

[tex]n(1-p) = 100*0.05 = 5 < 10[/tex]

As n(1-p) < 10, it is not approximately normal, option v.

Answer:

obtuse it is more than 90 so not a right and a straight angles is 180 degrees so it obtuse

Answer:

3,2,1,4

Step-by-step explanation:

Answer:

radius is 2.5 cm

hope it helps.

Answer:

radius =  2 1/2 cm or 2.5 cm

Step-by-step explanation:

diameter = 5 cm

radius = 5/2 = 2 1/2 cm

Answer:

the speed of the swimmer increased as the time went up ,the swimmer speed decreased as the time was up

Step-by-step explanation:

Answer:

The correct answer is: 2%

Step-by-step explanation:

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